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By applying Einstein's mass-energy equivalence (E = mc²) to Landauer's thermodynamic bound on information (E ≥ k_B T ln(2)), I derive a fundamental unit of information-energy: the Infoton, with mass 3.19 × 10⁻³⁸ kg. Janus states this represents a minimum quantized unit of information on the scale of sub-atomic particles and discuss measurement implications for information-fundamental physics.
Biophysics describes mitochondria in terms of membrane potential, electron transport rates in kinetic terms, and coherence phenomena in isolated complexes. By substituting e·Δψₘ for E in Plank-Einstein Relation of E = ℏω I calculate a mechanistic quantum frequency of 36.26 THz, or more specifically the heartbeat of mitochondria.
By substituting Hawking temperature (T_H = ℏc³/8πGMk_B) into the Infoton equation m = (k_B T ln(2))/c², I derive the information-energy mass at a black hole horizon: m = (ℏc)(ln(2))/(8πGM). This result shows Infoton mass is inversely proportional to black hole mass—as a black hole evaporates, information at its horizon becomes more massive. More generally, temperature mediates the coupling between information and spacetime geometry.
Although "Information physics" is a new "interpretation" of quantum mechanics, it is not an attempt to alter standard quantum mechanics, for example, extending it to theories such as "hidden variables" to restore determinism or adding terms to the Schrödinger equation to force a wave function collapse.
Information physics investigates the quantum mechanical and thermodynamic implications of cosmic information structures, especially those that were created before the existence of human observers.
Mathematically speaking, cancer is represented by unseen mathematical objects called hash functions. The theory behind hash functions describes all possible cases of cryptographic indifferentiability and the fundamental characteristic known as "collisions resistance". Both genetically and cryptographically speaking, in order to cure cancer we are needed to attack hash function, to reduce collision resistance.
The basic concept behind word entropy is that the more complex malware gets, the less ordered, or efficient in its use of characters, that the file hiding malware becomes. This loss of order leads to entropy values that are much higher than would otherwise be expected — off-the-charts complexity that sticks out like a sore thumb. The same concepts can be applied to the mitochondria.
The Prime state of n qubits, |Pn⟩, is defined as the uniform superposition of all the computational-basis states corresponding to prime numbers smaller than 2n. This state encodes, quantum mechanically, arithmetic properties of the primes. We first show that the Quantum Fourier Transform of the Prime state provides a direct access to Chebyshev-like biases in the distribution of prime numbers. We next study the entanglement entropy of |Pn⟩ up to n=30 qubits, and find a relation between its scaling and the Shannon entropy of the density of square-free integers. This relation also holds when the Prime state is constructed using a qudit basis, showing that this property is intrinsic to the distribution of primes.
Sometime before 300 BC, someone showed that there are infinitely many prime numbers – we know this, because a proof appears in Euclid’s famous Elements. In modern notation, if we write π(n) for the number of primes no greater than n, we can say that, π(n) → ∞, as n → ∞. the first person to connect prime-counting questions with information-theoretic ideas and methods is Patrick Billingsley. In the transcript of his 1973 lectures he describes a beautiful heuristic argument for proving Theorem 1 using simple computations in terms of the entropy.
Increasing entropy, the principle that, unless provided with new outside energy, any system will constantly lose usable energy, is a theoretical formulation for progressive irreversible disorder and randomness in the cells. The concept of entropy (structural genomic, transcriptomic, network of signal transduction, etc.) has been repeatedly applied to the characteristics of cancer tissue or cells: A role in the genesis of cancer was suggested, and a causal role was formally proposed in cancerogenesis. This aspect will be emphasized in this review. Increased entropy of signaling (or gene interaction networks) has been well studied as a cancer characteristic: Network entropy (NE) increases along with cancer progresses, yielding NEnormal < NEtumor < NEmetastasis.
Life on Earth might be performing vast numbers of calculations at the quantum level every second, potentially sharing a mathematical relationship with the universe itself. A new study published in Science Advances suggests our conventional understanding of biological computation has vastly underestimated what occurs in every living cell, and points to a connection between life and cosmic structure that could transform our understanding of existence.
FlyWire is a human-AI collaboration for reconstructing the full brain connectome of Drosophila. It is made possible by contributions from hundreds of scientists around the globe. The potential benefits of such a resource are immense - we can now make significant advances in our understanding of how the brain works by ultimately linking neuronal wiring with brain function.
Witness the first autonomous digital organism making self-informed decisions in real-time. DeepWorm demonstrates genuine biological intelligence - from survival behaviors to adaptive learning - running eternally onchain. Building on DeepWorm's pioneering work in digital biology, Nema introduces groundbreaking neuroplasticity and neurogenesis capabilities. Our implementation not only faithfully reproduces the C. elegans nervous system but enhances it with the ability to learn and grow through advanced neural plasticity algorithms.
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